제출 #558610

#제출 시각아이디문제언어결과실행 시간메모리
558610pakhomovee밀림 점프 (APIO21_jumps)C++17
4 / 100
1611 ms208192 KiB
#include "jumps.h" #include <vector> #include <algorithm> #include <iostream> using namespace std; const int maxn = 1 << 20; struct segTreeMax { pair<int, int> tree[maxn]; void build(int i, int l, int r, vector<int> & h) { if (l + 1 == r) { tree[i] = { h[l], l }; return; } int m = (l + r) / 2; build(i * 2 + 1, l, m, h); build(i * 2 + 2, m, r, h); tree[i] = max(tree[i * 2 + 1], tree[i * 2 + 2]); } pair<int, int> get(int i, int l, int r, int ql, int qr) { if (qr <= l || r <= ql) { return { -1, -1 }; } if (ql <= l && r <= qr) { return tree[i]; } int m = (l + r) / 2; return max(get(i * 2 + 1, l, m, ql, qr), get(i * 2 + 2, m, r, ql, qr)); } }; struct segTreeMin { pair<int, int> tree[maxn]; void build(int i, int l, int r, vector<int> & h) { if (l + 1 == r) { tree[i] = { h[l], l }; return; } int m = (l + r) / 2; build(i * 2 + 1, l, m, h); build(i * 2 + 2, m, r, h); tree[i] = min(tree[i * 2 + 1], tree[i * 2 + 2]); } pair<int, int> get(int i, int l, int r, int ql, int qr) { if (qr <= l || r <= ql) { return { 1e9, -1 }; } if (ql <= l && r <= qr) { return tree[i]; } int m = (l + r) / 2; return min(get(i * 2 + 1, l, m, ql, qr), get(i * 2 + 2, m, r, ql, qr)); } }; struct mst { vector<int> tree[maxn]; void build(int i, int l, int r, int* h) { if (l + 1 == r) { tree[i] = { h[l] }; return; } int m = (l + r) / 2; build(i * 2 + 1, l, m, h); build(i * 2 + 2, m, r, h); tree[i].resize(tree[i * 2 + 1].size() + tree[i * 2 + 2].size()); merge(tree[i * 2 + 1].begin(), tree[i * 2 + 1].end(), tree[i * 2 + 2].begin(), tree[i * 2 + 2].end(), tree[i].begin()); } int get(int i, int l, int r, int ql, int qr, int x) { if (qr <= l || r <= ql) { return -1e9; } if (ql <= l && r <= qr) { if (tree[i][0] > x) { return -1e9; } return *(--upper_bound(tree[i].begin(), tree[i].end(), x)); } int m = (l + r) / 2; return max(get(i * 2 + 1, l, m, ql, qr, x), get(i * 2 + 2, m, r, ql, qr, x)); } }; segTreeMax st; segTreeMin st1; mst st2; mst st3; int upRight[20][maxn]; int upLeft[20][maxn]; vector<int> gLeft[maxn]; vector<int> gRight[maxn]; int hLeft[maxn]; int hRight[maxn]; int n; void dfsLeft(int v, vector<bool> &used, int h) { used[v] = 1; hLeft[v] = h; for (int u : gLeft[v]) { dfsLeft(u, used, h - 1); } } void dfsRight(int v, vector<bool> &used, int h) { used[v] = 1; hRight[v] = h; for (int u : gRight[v]) { dfsRight(u, used, h - 1); } } void init(int N, std::vector<int> H) { n = N; st.build(0, 0, N, H); st1.build(0, 0, N, H); int HH[N]; for (int i = 0; i < N; ++i) { HH[i] = H[i]; } st3.build(0, 0, N, HH); vector<pair<int, int>> stk; for (int i = 0; i < N; ++i) { while (!stk.empty() && stk.back() < make_pair(H[i], i)) { stk.pop_back(); } if (!stk.empty()) { upLeft[0][i] = stk.back().second; } else { upLeft[0][i] = -1; } stk.push_back({ H[i], i }); } stk.clear(); for (int i = N - 1; i >= 0; --i) { while (!stk.empty() && stk.back() < make_pair(H[i], i)) { stk.pop_back(); } if (!stk.empty()) { upRight[0][i] = stk.back().second; } else { upRight[0][i] = -1; } stk.push_back({ H[i], i }); } stk.clear(); for (int j = 1; j < 20; ++j) { for (int i = N - 1; i >= 0; --i) { if (upLeft[j - 1][i] != -1) { upLeft[j][i] = upLeft[j - 1][upLeft[j - 1][i]]; } else { upLeft[j][i] = -1; } if (upRight[j - 1][i] != -1) { upRight[j][i] = upRight[j - 1][upRight[j - 1][i]]; } else { upRight[j][i] = -1; } } } vector<int> in(N, 0); for (int i = 0; i < N; ++i) { if (upLeft[0][i] != -1) { gLeft[upLeft[0][i]].push_back(i); } if (upRight[0][i] != -1) { gRight[i].push_back(upRight[0][i]); ++in[upRight[0][i]]; } } vector<bool> usedLeft(N, false); vector<bool> usedRight(N, false); for (int i = 0; i < N; ++i) { if (!usedLeft[i]) { dfsLeft(i, usedLeft, 0); } if (!usedRight[i] && in[i] == 0) { dfsRight(i, usedRight, 0); } } for (int i = 0; i < N; ++i) { hRight[i] *= -1; } st2.build(0, 0, N, hRight); } int fromPointToSegment(int mid, int l, int r) { int ans = 0; for (int j = 19; j >= 0; --j) { if (upRight[j][mid] != -1 && upRight[j][mid] < l) { ans += (1 << j); mid = upRight[j][mid]; } } mid = upRight[0][mid]; if (mid <= r) { return ans + 1; } return -1e9; } int fromSegmentToPoint(int l, int r, int mid, int v) { int x = st2.get(0, 0, n, l, r + 1, hRight[mid]); if (x > hRight[mid]) { return -1e9; } return hRight[mid] - x; } int minimum_jumps(int A, int B, int C, int D) { auto [xmid, midpos] = st.get(0, 0, n, B + 1, C); int xleft = st1.get(0, 0, n, A, B + 1).first; int xright = st.get(0, 0, n, C, D + 1).first; if (xright < xmid || xleft > xright) { return -1; } int q = st3.get(0, 0, n, A, B + 1, xright); if (q > xmid) { return 1; } int ans = fromPointToSegment(midpos, C, D); ans += fromSegmentToPoint(A, B, midpos, xmid); if (ans < 0) { return -1; } return ans; }
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